000 02741nam a22003735i 4500
001 291977
003 MX-SnUAN
005 20160429154930.0
007 cr nn 008mamaa
008 150903s2006 xxk| o |||| 0|eng d
020 _a9781846282447
_99781846282447
024 7 _a10.1007/1846282446
_2doi
035 _avtls000343759
039 9 _a201509030750
_bVLOAD
_c201404121000
_dVLOAD
_c201404090737
_dVLOAD
_y201402061204
_zstaff
040 _aMX-SnUAN
_bspa
_cMX-SnUAN
_erda
050 4 _aQA319-329.9
100 1 _aShirali, Satish.
_eautor
_9305447
245 1 0 _aMetric Spaces /
_cby Satish Shirali, Harkrishan L. Vasudeva.
264 1 _aLondon :
_bSpringer London,
_c2006.
300 _aviii, 222 páginas 21 ilustraciones
_brecurso en línea.
336 _atexto
_btxt
_2rdacontent
337 _acomputadora
_bc
_2rdamedia
338 _arecurso en línea
_bcr
_2rdacarrier
347 _aarchivo de texto
_bPDF
_2rda
500 _aSpringer eBooks
505 0 _aPreliminaries -- Basic Concepts -- Topology of a Metric Space -- Continuity -- Connected Spaces -- Compact Spaces -- Product Spaces.
520 _aThis volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions. Key features include: a full chapter on product metric spaces, including a proof of Tychonoff’s Theorem a wealth of examples and counter-examples from real analysis, sequence spaces and spaces of continuous functions numerous exercises – with solutions to most of them – to test understanding. The only prerequisite is a familiarity with the basics of real analysis: the authors take care to ensure that no prior knowledge of measure theory, Banach spaces or Hilbert spaces is assumed. The material is developed at a leisurely pace and applications of the theory are discussed throughout, making this book ideal as a classroom text for third- and fourth-year undergraduates or as a self-study resource for graduate students and researchers.
590 _aPara consulta fuera de la UANL se requiere clave de acceso remoto.
700 1 _aVasudeva, Harkrishan L.
_eautor
_9323489
710 2 _aSpringerLink (Servicio en línea)
_9299170
776 0 8 _iEdición impresa:
_z9781852339227
856 4 0 _uhttp://remoto.dgb.uanl.mx/login?url=http://dx.doi.org/10.1007/1-84628-244-6
_zConectar a Springer E-Books (Para consulta externa se requiere previa autentificación en Biblioteca Digital UANL)
942 _c14
999 _c291977
_d291977